140 citations · 394 across the 23 of their papers we have counts for
Showing 2011 · nlin.CDShow all
3 papers · 2 filters
nlin.CD2011★ 50 cited
Fast numerical test of hyperbolic chaos
Pavel V. Kuptsov
The effective numerical method is developed performing the test of the hyperbolicity of chaotic dynamics. The method employs ideas of algorithms for covariant Lyapunov vectors but…
nlin.CD2011★ 140 cited
Theory and computation of covariant Lyapunov vectors
Pavel V. Kuptsov, Ulrich Parlitz
Lyapunov exponents are well-known characteristic numbers that describe growth rates of perturbations applied to a trajectory of a dynamical system in different state space directio…
nlin.CD2011★ 26 cited
A large-deviation approach to space-time chaos
Pavel V. Kuptsov, Antonio Politi
In this Letter we show that the analysis of Lyapunov-exponents fluctuations contributes to deepen our understanding of high-dimensional chaos. This is achieved by introducing a Gau…